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Finding the Fourth Proportional to 28,487.16, 39,312.81 and 15,741

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Solution

The fourth proportional to 28,487.16, 39,312.81 and 15,741 is: 21,722.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,487.16 : 39,312.81 = 15,741 : x
  2. Step 2: Convert to fraction form
    28,487.16/39,312.81 = 15,741/x
  3. Step 3: Cross multiply
    28,487.16x = 39,312.81 × 15,741
  4. Step 4: Simplify right side
    28,487.16x = 618,822,942.21
  5. Step 5: Solve for x
    x = 618,822,942.21/28,487.16
  6. Step 6: Final answer
    x = 21,722.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.